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Finding the Fourth Proportional to 446.95, 670.69 and 173.03

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Solution

The fourth proportional to 446.95, 670.69 and 173.03 is: 259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.95 : 670.69 = 173.03 : x
  2. Step 2: Convert to fraction form
    446.95/670.69 = 173.03/x
  3. Step 3: Cross multiply
    446.95x = 670.69 × 173.03
  4. Step 4: Simplify right side
    446.95x = 116,045.27
  5. Step 5: Solve for x
    x = 116,045.27/446.95
  6. Step 6: Final answer
    x = 259.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.